{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:R5QLOQFSOVLCBM467WOABPAKIQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c080d704fb0f512f604c8a6bd6030f1ead27ae02bdb23c5a200edb81242248e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-14T07:53:04Z","title_canon_sha256":"ee9cc3663063c59ff8dcc47ef79cfb3c67e632dae290fbac63f9686f2c8c425b"},"schema_version":"1.0","source":{"id":"1202.2957","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2957","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2957v2","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2957","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"R5QLOQFSOVLC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R5QLOQFSOVLCBM46","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R5QLOQFS","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:4ff0a144f5741deab49d360fbc422a5b721a94aec79bc077595071a702b50055","target":"graph","created_at":"2026-05-18T03:42:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present an efficient numerical method for computing Hamiltonian matrix elements between non-orthogonal Slater determinants, focusing on the most time-consuming component of the calculation that involves a sparse array. In the usual case where many matrix elements should be calculated, this computation can be transformed into a multiplication of dense matrices. It is demonstrated that the present method based on the matrix-matrix multiplication attains $\\sim$80% of the theoretical peak performance measured on systems equipped with modern microprocessors, a factor of 5-10 better than the norm","authors_text":"Noritaka Shimizu, Takaharu Otsuka, Takashi Abe, Yutaka Utsuno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-14T07:53:04Z","title":"Efficient computation of Hamiltonian matrix elements between non-orthogonal Slater determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2957","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e9d1b02ce4dcd7672aaf6313293d6649d419e5b84bd8ed4e8b1ac21902db6138","target":"record","created_at":"2026-05-18T03:42:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c080d704fb0f512f604c8a6bd6030f1ead27ae02bdb23c5a200edb81242248e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-14T07:53:04Z","title_canon_sha256":"ee9cc3663063c59ff8dcc47ef79cfb3c67e632dae290fbac63f9686f2c8c425b"},"schema_version":"1.0","source":{"id":"1202.2957","kind":"arxiv","version":2}},"canonical_sha256":"8f60b740b2755620b39efd9c00bc0a443adb8f3a93005a7a6e879444007ae07a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f60b740b2755620b39efd9c00bc0a443adb8f3a93005a7a6e879444007ae07a","first_computed_at":"2026-05-18T03:42:46.146068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:46.146068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dVbpsfdDA+9vz6bqnA9o4ApiuWOzghr6TcQA02a0UKQ2tZARQVBw3jDXJfamPCLAXUaJnBkrRMWsnAVhiW+RCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:46.146593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2957","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9d1b02ce4dcd7672aaf6313293d6649d419e5b84bd8ed4e8b1ac21902db6138","sha256:4ff0a144f5741deab49d360fbc422a5b721a94aec79bc077595071a702b50055"],"state_sha256":"4b10e6cf996754dce973025204f90bf65829c951e27d277f9b69e574e6c052f2"}